Exact trigonometric values
			
				Table of contents
				0°
				3°
				6°
				9°
				12°
				15°
				18°
				21°
				24°
				27°
				30°
				33°
				36°
				39°
				42°
				45°
				48°
				51°
				54°
				57°
				60°
				63°
				66°
				69°
				72°
				75°
				78°
				81°
				84°
				87°
				90°
			 
			0° and 90°
			0°
			
			
			
			
				Other values
				
				
				
			 
			90°
			
			
			
			
				Other values
				
				
				
			 
			45°
			Derivation (Graph)
			
			
			Derivation (Half-Angle Formula)
			
			
			
			45°
			
			
			
			
				Other values
				
				
				
			 
			30° and 60°
			Derivation (Graph)
			
			
			30°
			
			
			
			
				Other values
				
				
				
			 
			60°
			
			
			
			
				Other values
				
				
				
			 
			15° and 75°
			Derivation (Graph)
			
			
			
			Derivation (Half-Angle Formula)
			
			
			
			
			15°
			
			
			
			
				Other values
				
				
				
			 
			75°
			
			
			
			
				Other values
				
				
				
			 
			18°, 36°, 54°, and 72°
			Derivation (Graph)
			
			
			
			
			
			18°
			
			
			
			
				Other values
				
				
				
			 
			36°
			
			
			
			
				Other values
				
				
				
			 
			54°
			
			
			
			
				Other values
				
				
				
			 
			72°
			
			
			
			
				Other values
				
				
				
			 
			9°, 27°, 63°, and 81°
			Derivation (Half-Angle Formula)
			
			
			
			
			
			9°
			
			
			
			
				Other values
				
				
				
			 
			27°
			
			
			
			
				Other values
				
				
				
			 
			63°
			
			
			
			
				Other values
				
				
				
			 
			81°
			
			
			
			
				Other values
				
				
				
			 
			6°, 12°, 24°, 42°, 48°, 66°, 78°, and 84°
			Derivation (Sum and Difference Formula)
			
			
			
			
			6°
			
			
			
			
				Other values
				
				
				
			 
			12°
			
			
			
			
				Other values
				
				
				
			 
			24°
			
			
			
			
				Other values
				
				
				
			 
			42°
			
			
			
			
				Other values
				
				
				
			 
			48°
			
			
			
			
				Other values
				
				
				
			 
			66°
			
			
			
			
				Other values
				
				
				
			 
			78°
			
			
			
			
				Other values
				
				
				
			 
			84°
			
			
			
			
				Other values
				
				
				
			 
			3°, 21°, 33°, 39°, 51°, 57°, 69°, and 87°
			Derivation (Sum and Difference Formula)
			
			
			
			
			3°
			
			
			
			
				Other values
				
				
				
			 
			21°
			
			
			
			
				Other values
				
				
				
			 
			33°
			
			
			
			
				Other values
				
				
				
			 
			39°
			
			
			
			
				Other values
				
				
				
			 
			51°
			
			
			
			
				Other values
				
				
				
			 
			57°
			
			
			
			
				Other values
				
				
				
			 
			69°
			
			
			
			
				Other values
				
				
				
			 
			87°
			
			
			
			
				Other values